SOLUTION: suppose that z varies directly with x and inversely with y, and x=5, y=4, and z=8. Write a function that models the joint variation. Then find z when x=32 and y=2

Algebra.Com
Question 406877: suppose that z varies directly with x and inversely with y, and x=5, y=4, and z=8. Write a function that models the joint variation. Then find z when x=32 and y=2
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
z varies directly with x and inversely with y
z = kx/y
x=5, y=4, and z=8
8 = 5k/4
(4/5)*8 = k
32/5 = k
z = (32/5)x/y
find z when x=32 and y=2
z = (32/5)(32/2
z = 102.4
RELATED QUESTIONS

Write the function that models each relationship. Find z when x = 4 and y = 8. z varies... (answered by MathLover1)
write a function that models each variation. x=3 and y=12 when z=2. z varies directly... (answered by Edwin McCravy)
Write a function that models each variation. 1. x = -1 when y = 5. y varies inversely... (answered by Mathtut)
Write a function that models each variation: a. x=-1 when y=5, y varies inversely as x. (answered by stanbon)
Suppose that y varies directly with x and inversely with z, and y = 25 when x = 35 and z... (answered by stanbon)
Suppose that y varies directly with x and inversely with z, and y = 18 when x = 15 and z... (answered by KMST)
Suppose that y varies directly with x and inversely with z; y = 27 when x = 21, and z =... (answered by Cromlix)
Suppose that y varies jointly with w and x and inversely with z and y=360 when w=8, x=25, (answered by ankor@dixie-net.com)
Find the coefficient of variation, k. Write a Function that models each variation. x... (answered by stanbon)